This is where I do my thinking!

Brief vita

Before coming to UNM I was a postdoc in Mechanical Engineering at Caltech with Tim Colonius. We developed a high order version of the Super-Grid-Scale method, which is a flexible, accurate and robust technique for truncating unbounded computational domains. We were also developing computational models to predict the thermal behavior of Montgolfier aerobots for exploration of Titan (might be applicable at the balloon fiesta).

Prior to Caltech I worked at Lawrence Livermore National Laboratory in the Applied Math. group at the Center for Applied Scientific Computing. At LLNL I was a part of the Serpentine project where Anders Petersson, Bjorn Sjögreen and I developed massively parallel numerical methods for seismology. Together with Anders I also developed a fourth order accurate embedded boundary method for the wave equation. At LLNL I also worked with Bill Henshaw on simulations of converging shocks and on a parallel overset grid solver for solid mechanics.

After my dissertation I spent six months as a Hans Werthen (the founder of Electrolux) Prize postdoc at the Department of Mathematics and Statistics at UNM. There I worked with Tom Hagstrom on a general formulation of perfectly matched layer models for hyperbolic-parabolic systems. Tom has come up with new and very exiting discretization methods of arbitrary order based on Hermite interpolation and Taylor time series expansion. As a part of my postdoc we considered the application of these methods to compressible flows. Currently we are collaborating with Tim Colonius to apply Hermite methods to the DNS of jet noise. The computations are made possible by the generous support of resources from XSEDE.

I did my PhD in Numerical Analysis at NADA, KTH under the supervision of Gunilla Kreiss. During my thesis work I also had the fortune to be able to visit Tom Hagstrom in New Mexico at several occasions and he became a co-adviser of sorts. In my thesis I looked at different aspects of the perfectly matched layer method. One result we got was that well-posedness of a general pml model we developed could always be guaranteed by a parabolic complex frequency shift. We were also able to establish stability results for a certain class of hyperbolic systems, the details can be found in my thesis.